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Popular >

f(-4)=3x^2-10x+4

Solution

f (- 4) = 3 x^{2} - 10 x + 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{13}{3}

X Intercepts : (\frac{5 + 13}{3}, 0), (\frac{5 - 13}{3}, 0), Y Intercepts : (0, 4)

Vertex : Minimum (\frac{5}{3}, - \frac{13}{3})

Inverse : \frac{5 + 3 x + 13}{3}, \frac{5 - 3 x + 13}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{13}{3}, \infty)

Solution steps

Domain of

3 x^{2} - 10 x + 4 : - \infty < x < \infty

Range of

3 x^{2} - 10 x + 4 : f (x) \geq - \frac{13}{3}

Axis interception points of

3 x^{2} - 10 x + 4 :

X Intercepts

: (\frac{5 + 13}{3}, 0), (\frac{5 - 13}{3}, 0),

Y Intercepts

: (0, 4)

Vertex of

3 x^{2} - 10 x + 4 :

Minimum

(\frac{5}{3}, - \frac{13}{3})

Inverse of

3 x^{2} - 10 x + 4 : \frac{5 + 3 x + 13}{3}, \frac{5 - 3 x + 13}{3}

Popular Examples

f (x) = e^{x} - 6

f (x) = - \frac{2}{5} x + 2

y = 2 (x + 4)^{2} - 5

f(x)=tan(1/2 x)

f (x) = tan (\frac{1}{2} x)

y = 2 x^{2} + 5 x + 2

Frequently Asked Questions (FAQ)

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